What is the Greatest Common Factor of 2854 and 2870?

Greatest common factor (GCF) of 2854 and 2870 is 2.

GCF(2854,2870) = 2

We will now calculate the prime factors of 2854 and 2870, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2854 and 2870.

How to find the GCF of 2854 and 2870?

We will first find the prime factorization of 2854 and 2870. After we will calculate the factors of 2854 and 2870 and find the biggest common factor number .

Step-1: Prime Factorization of 2854

Prime factors of 2854 are 2, 1427. Prime factorization of 2854 in exponential form is:

2854 = 2¹ × 1427¹

Step-2: Prime Factorization of 2870

Prime factors of 2870 are 2, 5, 7, 41. Prime factorization of 2870 in exponential form is:

2870 = 2¹ × 5¹ × 7¹ × 41¹

Step-3: Factors of 2854

List of positive integer factors of 2854 that divides 2854 without a remainder.

1, 2, 1427

Step-4: Factors of 2870

List of positive integer factors of 2870 that divides 2854 without a remainder.

1, 2, 5, 7, 10, 14, 35, 41, 70, 82, 205, 287, 410, 574, 1435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2854 and 2870. The biggest common factor number is the GCF number.
So the greatest common factor 2854 and 2870 is 2.

Also check out the Least Common Multiple of 2854 and 2870